Excitonic recombination processes in spin-polarized two-dimensional electron gases

Osborne, J.L.; Shields, A. J.; Simmons, M. Y.; Cooper, N. R.; Ritchie, D. A.; Pepper, M.

doi:10.1103/physrevb.58.r4227

Cited by 28 publications

(40 citation statements)

References 17 publications

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“…16,17 Several effects might enhance the anomalies of the E 2D(B ) behavior observed in HJs. (a) As mentioned above, the hole distance from the interface deh varies with B .…”

Section: Discussionmentioning

confidence: 99%

Exciton to two-dimensional electron-hole photoluminescence transitions driven by the quantum Hall effect in photoexcited heterojunctions

et al. 2005

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A comprehensive experimental study of the photoluminescence (PL) spectral evolution under a magnetic field (B ^ 25 T) applied perpendicularly to a high-mobility two-dimensional electron gas (2DEG), is performed on modulation-doped GaAs/AlGaAs heterojunctions at TL=0.3 K. The abrupt transfer of the free exciton to hole-2DEG PL occurring at integer and fractional filling factors is analyzed in a phenomenological model, wherein free excitons photogenerated in the GaAs layer dissociate into a 2D electron and 3D hole near the 2D-electron channel. Such magnetic field induced exciton-(2De-h) transitions are able to explain the remark able strong PL anomalies in single hetrojunctions as compared to those observed in modulation-doped quantum wells.

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“…16,17 Several effects might enhance the anomalies of the E 2D(B ) behavior observed in HJs. (a) As mentioned above, the hole distance from the interface deh varies with B .…”

Section: Discussionmentioning

confidence: 99%

Exciton to two-dimensional electron-hole photoluminescence transitions driven by the quantum Hall effect in photoexcited heterojunctions

et al. 2005

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“…Apart from the fact that our bosonization scheme reproduces the time-dependent Hartree-Fock (or RPA) results, it goes beyond as it yields an interacting bosonic model (43). Such kind of result was first derived for the 2DEG at ν = 1 in Ref.…”

Section: B Bound States Of Two Bosonsmentioning

confidence: 92%

“…43 Substituting Eq. (51) into (50) we obtain the following eigenvalue equation (52) where E P (q) = w P/2−q + w P/2+q is the energy of two free bosons, ε = E P −E F M , and the kernel of the integral equation reads…”

Section: B Bound States Of Two Bosonsmentioning

confidence: 99%

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Spin-excitations of the quantum Hall ferromagnet of composite fermions

Doretto¹,

Goerbig²,

Lederer³

et al. 2005

Phys. Rev. B

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The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite fermions with an extra discrete degree of freedom. Here, we mainly investigate the spin degrees of freedom, but the proposed formalism may be useful also in the study of bilayer quantum-Hall systems, where the layer index may formally be treated as an isospin. In a second step, we apply a bosonization scheme, recently developed for the study of the two-dimensional electron gas, to the interacting composite-fermion Hamiltonian. The dispersion of the bosons, which represent quasiparticle-quasihole excitations, is analytically evaluated for fractional quantum Hall systems at ν = 1/3 and ν = 1/5. The finite width of the two-dimensional electron gas is also taken into account explicitly. Furthermore, we consider the interacting bosonic model and calculate the lowest-energy state for two bosons. In addition to a continuum describing scattering states, we find a bound-state of two bosons. This state is interpreted as a pair excitation, which consists of a skyrmion of composite fermions and an antiskyrmion of composite fermions. The dispersion relation of the two-boson state is evaluated for ν = 1/3 and ν = 1/5. Finally, we show that our theory provides the microscopic basis for a phenomenological non-linear sigma-model for studying the skyrmion of composite fermions.

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“…One of the anomalies 1-11 revealed in the magnetophotoluminescence ͑MPL͒ experiments performed on the twodimensional electron gas formed in semiconductor heterostructures ͓single heterojunctions and single quantum wells ͑QW's͔͒ was the presence in the spectra of some redshift discontinuities 4,7,10,11 at the filling factors ϭ1 and 2. The theoretical model proposed for the case of the Ϫ polarization 2,4 shows that the magnitude of the redshift discontinuity in the energy that appears when the magnetic field sweeps through these filling factors will be proportional to the difference between the Hartree-Fock energy (E HF ) of the hole formed in the conduction band ͑CB͒ after the recombination and the binding energy of the exciton formed before the recombination (E EX ), and it will scale as (ͱB) with magnetic field.…”

mentioning

confidence: 99%

Polarization-dependent spectral redshifts atν=1andν=2in a GaAs quantum well in high magnetic fields up to 60 T

et al. 2000

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Polarized magnetophotoluminescence measurements performed on a wide parabolic GaAs/Al 0.2 Ga 0.8 As quantum well reveal the presence of spectral redshifts in the energy at filling factors ϭ1 and 2. The magnitude of these redshifts depends on the polarization and filling factor. While the values for the case of the Ϫ polarization agree with existing theories, the results for the ϩ polarizations are less understood.

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Excitonic recombination processes in spin-polarized two-dimensional electron gases

Cited by 28 publications

References 17 publications

Exciton to two-dimensional electron-hole photoluminescence transitions driven by the quantum Hall effect in photoexcited heterojunctions

Exciton to two-dimensional electron-hole photoluminescence transitions driven by the quantum Hall effect in photoexcited heterojunctions

Spin-excitations of the quantum Hall ferromagnet of composite fermions

Polarization-dependent spectral redshifts atν=1andν=2in a GaAs quantum well in high magnetic fields up to 60 T

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